Speaking as a typesetter, I'd recommend getting (if you don't already have it) some grit-cleaning hand soap; I wish I had a precise brand to recommend -- Lava soap is an example of the sort of thing I mean.

That's the best for getting lead residue out -- it also works well for ink, but you don't need to worry as much about that.

Frequent hand-washing and being aware that you don't touch your lips should do well, even if you don't tape off the pieces; it's what works for me, since I tend not to use gloves because I need the feel for speed and accuracy.